## Word Problems

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### Word Problems

by BTGmoderatorLU » Sun Apr 09, 2023 2:08 pm

00:00

A

B

C

D

E

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A steel rod $$50$$ meters long is cut into two pieces. If one piece is $$14$$ meters longer than the other, what is the length, in meters, of the shorter piece?

A. $$10$$
B. $$18$$
C. $$32$$
D. $$36$$
E. $$40$$

The OA is B

Source: Manhattan GMAT

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### Re: Word Problems

by Brent@GMATPrepNow » Mon Apr 10, 2023 6:55 am
BTGmoderatorLU wrote:
Sun Apr 09, 2023 2:08 pm
A steel rod $$50$$ meters long is cut into two pieces. If one piece is $$14$$ meters longer than the other, what is the length, in meters, of the shorter piece?

A. $$10$$
B. $$18$$
C. $$32$$
D. $$36$$
E. $$40$$

The OA is B

Source: Manhattan GMAT
Let x = the length of the shorter piece

One piece is 14 meters longer than the other
So, x + 14 = the length of the longer piece

A steel rod 50 meters long is cut into two pieces.
This means the sum of the lengths of the longer and shorter pieces is 50 meters
We can write: x + (x + 14) = 50
Simplify: 2x + 14 = 50
Solve: x = 18